1307668561920 has 1200 divisors, whose sum is σ = 5480949196800. Its totient is φ = 292047814656.

The previous prime is 1307668561909. The next prime is 1307668561951. The reversal of 1307668561920 is 291658667031.

1307668561920 is a `hidden beast` number, since 1 + 3 + 0 + 76 + 6 + 8 + 561 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2183085781 + ... + 2183086379.

It is an arithmetic number, because the mean of its divisors is an integer number (4567457664).

Almost surely, 2^{1307668561920} is an apocalyptic number.

1307668561920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307668561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740474598400).

1307668561920 is an abundant number, since it is smaller than the sum of its proper divisors (4173280634880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1307668561920 is an frugal number, since it uses more digits than its factorization.

1307668561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1307668561920 in words is "one trillion, three hundred seven billion, six hundred sixty-eight million, five hundred sixty-one thousand, nine hundred twenty".